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Finding the Third Proportional to 365,320.13 and 845,731.13

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Solution

The third proportional to 365,320.13 and 845,731.13 is: 1,957,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,320.13 : 845,731.13 = 845,731.13 : x
  2. Step 2: Convert to fraction form
    365,320.13/845,731.13 = 845,731.13/x
  3. Step 3: Cross multiply
    365,320.13x = 845,731.13 × 845,731.13
  4. Step 4: Simplify right side
    365,320.13x = 715,261,135,793.77
  5. Step 5: Solve for x
    x = 715,261,135,793.77/365,320.13
  6. Step 6: Final answer
    x = 1,957,902.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.